The polynomial `R(x)` is the remainder upon dividing `x^(2007)` by `x^(2)-5x+6` .If `R(0)` can be expressed as `ab(a^(c)-b^(c))` ,find the value of `(a+b)/(20)+c=?`

If a polynomial f(x) is divided by (x-a)(x-b), the remainder is

If the polynomial ax^(3)+3x^(2)-3 leaves the remainder 6 when divided by x-4, then find the value of a.

If the remainder obtained on dividing the polynomial 2x^(3)-9x^(2)+8x+15 by (x-1) is R_(1) and the remainder obtained on dividing the polynomial x^(2)-10x+50 by (x-5) is R_(2), then what is the value of R1-R2?

Suppose p(x) is a polynomial with integer coefficients.The remainder when p(x) is divided by x-1 is 1 and the remainder when p(x) is divided cby x-4 is 10. If r(x) is the remainder when p(x) is divided by (x-1)(x-4) then find the value of r(2006)

Suppose p(x) is a polynomial with integer coefficients.The remainder when p(x) is divided by x-1 is 1 and the remainder when p(x) is divided cby x-4 is 10. If r(x) is the remainder when p(x) is divided by (x-1)(x-4) then find the value of r(2006)

If the area of the polygon whose vertices are the solutions (in the complex plane) of the equation x^(7)+x^(6)+x^(5)+x^(4)+x^(3)+x^(2)+x+1=0 can be expressed in the simplest form as (a sqrt(b)+c)/(d), find the value of (a+b+c+d)

If f(x) is a polynomial then the remainder of f(x) when divided by (x-a) is A) f(0), B) f(a), C) f(1) ,D) f(-a)

The polynomial ax^(3)+3x^(2)-3 and 2x^(3)-5x+a when divided by x-1 leaves the remainders R_(1) and R_(2) respectively . Find the value of a , if 2R_(1)-R_(2)=0 .

A quadratic polynomial ax^(2) + bx + c is such that when it is divided by x, (x - 1) and (x + 1), the remainders are 3, 6 and 4 respectively. What is the value of (a + b) ?

x+2 is a factor of polynomial ax^(3)+bx^(2)+x-2 and the remainder 4 is obtained on dividing this polynomial by (x-2). Find the value of a and b.